A246902 Number of tilings of a 5 X n rectangle using n pentominoes of distinct shapes.

1, 1, 0, 28, 200, 856, 2164, 5584, 13632, 23608, 27804, 16412, 4040

Offset

0,4

Links

Table of n, a(n) for n=0..12.

Wikipedia, Pentomino

Example

a(3) = 28: 4 orientations of each of the following 7 patterns:
  ._____. ._____. ._____. ._____. ._____. ._____. ._____.
  |___. | | |   | |_. ._| | .___| |   | | |_.   | | ._| |
  | | | | | | ._| | | | | | |   | | ._| | | |___| | |_. |
  | | |_| | |_| | | |_| | |_| ._| |_| ._| |_. ._| |___| |
  | |_. | |___| | | |_. | | |_| | | |_| | | |_| | |   |_|
  |___|_| |_____| |___|_| |_____| |_____| |_____| |_____| .

Crossrefs

Cf. A174249, A233427.

Sequence in context: A042526 A184933 A233039 * A236372 A346376 A159542

Adjacent sequences: A246899 A246900 A246901 * A246903 A246904 A246905

Keyword

nonn,fini,full

Author

Alois P. Heinz, Nov 16 2014

Status

approved